Home / 1,156.48-1,733.50-462.81

Finding the Fourth Proportional to 1,156.48, 1,733.50 and 462.81

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Solution

The fourth proportional to 1,156.48, 1,733.50 and 462.81 is: 693.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.48 : 1,733.50 = 462.81 : x
  2. Step 2: Convert to fraction form
    1,156.48/1,733.50 = 462.81/x
  3. Step 3: Cross multiply
    1,156.48x = 1,733.50 × 462.81
  4. Step 4: Simplify right side
    1,156.48x = 802,288.21
  5. Step 5: Solve for x
    x = 802,288.21/1,156.48
  6. Step 6: Final answer
    x = 693.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.